Self-Distillation Zero: Self-Revision Turns Binary Rewards into Dense Supervision

Fuente: arXiv
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Autori principali: He, Yinghui, Kaur, Simran, Bhaskar, Adithya, Yang, Yongjin, Liu, Jiarui, Ri, Narutatsu, Fowl, Liam, Panigrahi, Abhishek, Chen, Danqi, Arora, Sanjeev
Natura: Preprint
Pubblicazione: 2026
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author He, Yinghui
Kaur, Simran
Bhaskar, Adithya
Yang, Yongjin
Liu, Jiarui
Ri, Narutatsu
Fowl, Liam
Panigrahi, Abhishek
Chen, Danqi
Arora, Sanjeev
author_facet He, Yinghui
Kaur, Simran
Bhaskar, Adithya
Yang, Yongjin
Liu, Jiarui
Ri, Narutatsu
Fowl, Liam
Panigrahi, Abhishek
Chen, Danqi
Arora, Sanjeev
contents Current post-training methods in verifiable settings fall into two categories. Reinforcement learning (RLVR) relies on binary rewards, which are broadly applicable and powerful, but provide only sparse supervision during training. Distillation provides dense token-level supervision, typically obtained from an external teacher or using high-quality demonstrations. Collecting such supervision can be costly or unavailable. We propose Self-Distillation Zero (SD-Zero), a method that is substantially more training sample-efficient than RL and does not require an external teacher or high-quality demonstrations. SD-Zero trains a single model to play two roles: a Generator, which produces an initial response, and a Reviser, which conditions on that response and its binary reward to produce an improved response. We then perform on-policy self-distillation to distill the reviser into the generator, using the reviser's token distributions conditioned on the generator's response and its reward as supervision. In effect, SD-Zero trains the model to transform binary rewards into dense token-level self-supervision. On math and code reasoning benchmarks with Qwen3-4B-Instruct and Olmo-3-7B-Instruct, SD-Zero improves performance by at least 10% over the base models and outperforms strong baselines, including Rejection Fine-Tuning (RFT), GRPO, and Self-Distillation Fine-Tuning (SDFT), under the same question set and training sample budget. Extensive ablation studies show two novel characteristics of our proposed algorithm: (a) token-level self-localization, where the reviser can identify the key tokens that need to be revised in the generator's response based on reward, and (b) iterative self-evolution, where the improving ability to revise answers can be distilled back into generation performance with regular teacher synchronization.
format Preprint
id arxiv_https___arxiv_org_abs_2604_12002
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Self-Distillation Zero: Self-Revision Turns Binary Rewards into Dense Supervision
He, Yinghui
Kaur, Simran
Bhaskar, Adithya
Yang, Yongjin
Liu, Jiarui
Ri, Narutatsu
Fowl, Liam
Panigrahi, Abhishek
Chen, Danqi
Arora, Sanjeev
Computation and Language
Current post-training methods in verifiable settings fall into two categories. Reinforcement learning (RLVR) relies on binary rewards, which are broadly applicable and powerful, but provide only sparse supervision during training. Distillation provides dense token-level supervision, typically obtained from an external teacher or using high-quality demonstrations. Collecting such supervision can be costly or unavailable. We propose Self-Distillation Zero (SD-Zero), a method that is substantially more training sample-efficient than RL and does not require an external teacher or high-quality demonstrations. SD-Zero trains a single model to play two roles: a Generator, which produces an initial response, and a Reviser, which conditions on that response and its binary reward to produce an improved response. We then perform on-policy self-distillation to distill the reviser into the generator, using the reviser's token distributions conditioned on the generator's response and its reward as supervision. In effect, SD-Zero trains the model to transform binary rewards into dense token-level self-supervision. On math and code reasoning benchmarks with Qwen3-4B-Instruct and Olmo-3-7B-Instruct, SD-Zero improves performance by at least 10% over the base models and outperforms strong baselines, including Rejection Fine-Tuning (RFT), GRPO, and Self-Distillation Fine-Tuning (SDFT), under the same question set and training sample budget. Extensive ablation studies show two novel characteristics of our proposed algorithm: (a) token-level self-localization, where the reviser can identify the key tokens that need to be revised in the generator's response based on reward, and (b) iterative self-evolution, where the improving ability to revise answers can be distilled back into generation performance with regular teacher synchronization.
title Self-Distillation Zero: Self-Revision Turns Binary Rewards into Dense Supervision
topic Computation and Language
url https://arxiv.org/abs/2604.12002